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In a family, the father took one-fourth of the cake and he had three times more than the others had. The total number of family members is - Mathematics

MCQ

In a family, the father took one-fourth of the cake and he had three times more than the others had. The total number of family members is

Options

  • 3

  • 7

  • 10

  • 12

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Solution

10

Explanation:

Let cake weight = x kg and no. of family members = n

Father gets `"x"/4`

Remaining `(3"x")/4` distributed equally among (n - 1) member

each gets =`(3"x")/(4("n"-1))` ATQ

`"x"/4=(3(3"x"))/(4("n"-1))`

n - 1 = 9

n = 10

Concept: Number System (Entrance Exam)
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